Question

若双曲线x²/m-y²/5=1的右焦点与抛物线y²=12x的焦点重合,则此双曲线离心率为

Answer 1

抛物线y²=12x的焦点= (p/2, 0) = (6/2, 0) =(3,0)

c=3

a^2 = m
b^2 = 5
m = 5+c^2 = 5+9 =14
a = √m =√14
e = c/a = 3/√14 = 3√14/14

追问

追答

a^2 = m
b^2 = 5
m = c^2 -5 = 9-5 =4
a = √m =2
e = c/a = 3/2